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Phoenix [80]
2 years ago
10

Help picture below problem 12

Mathematics
1 answer:
IgorC [24]2 years ago
8 0

Answer:

78°

Step-by-step explanation:

Angles on a straight line = 180°

AD is the straight line

Angle BFA = 48

Angle CFD = 54

54 + 48 = 102

180 - 102 = 78

Therefore, Angle BFC = 78°

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The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube? 6 cubic feet 18 cubic
fomenos

The volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.

<h3>What is a cube?</h3>
  • A cube is a three-dimensional solid object with six square faces, facets, or sides, three of which meet at each vertex.
  • The cube is one of the five Platonic solids and the only regular hexahedron.
  • It has six faces, twelve edges, and eight vertices.

To find the volume of the cube that perfectly fits an 18 ft³ pyramid:

We have been provided that:

  • 18 cubic feet is the volume of the pyramid.
  • Now, in order for this pyramid to fit exactly into a cube, the base of the pyramid must be square, and the height of the pyramid must be equal to the height of the cube.
  • We can conclude from this that the volume of a cube equals three times the volume of a pyramid.
  • So, the volume of the cube = 3 × 18
  • The volume of Cube = 54 ft³

Therefore, the volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.

Know more about a cube here:

brainly.com/question/1972490

#SPJ4

The correct question is given below:

The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube?

(A) 6 cubic feet

(B) 18 cubic feet

(C) 54 cubic feet

(D) 72 cubic feet

6 0
11 months ago
From a group of 8 people, including George and Nina, 3 people are to be selected at random to work on a certain project. What is
cestrela7 [59]

Answer:\frac{15}{56}

Step-by-step explanation:

We have to select george but not nina with two other people

No. of ways  selecting 2 two people knowing Geroge will be the third one is

^6C_2 (beacuse we have to exclude Nina)

And total no of ways of selecting 3 people out of 8 people is ^8C_3

Therefore the required Probability is \frac{^6C_{2}}{^8C_{3}}    

=\frac{15}{56}

3 0
3 years ago
What is the y-intercept of the graph below?
irinina [24]

Answer:

the y intercept is 2

Step-by-step explanation:

we can see this because the line crossed the 2 on the y axis line

4 0
2 years ago
Solve BCD Round the answer to the nearest hundredth
lesya [120]

Answer:

A

Step-by-step explanation:

The measure of angle D can be found using the Interior Angle Sum of a Triangle.

The angles of a triangle add to 180. This means:

90 + 21 + x = 180.

111 + x = 180

x = 69

The solution is A.

Angle B is smaller than Angle D which means CD will be smaller than BC.

7 0
3 years ago
if the variance of the data values in a population is 256, what is the standard deviation of the data values?
kumpel [21]
The standard deviation is the square root of the variance

so if the variance is 256, then the standard deviation is : sqrt 256 = 16 <==
5 0
3 years ago
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